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NOTE ON CALCULATING WIENER NUMBERS OF MOLECULAR GRAPHS WITH SYMMETRY

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Applied Mathematics:A Journal of Chinese Universities 1999年第2期 69-74页

作者： Li Huaien\ zhang fuji

§１ＩｎｔｒｏｄｕｃｔｉｏｎＩｎ１９７４ＨａｒｏｌｄＷｉｅｎｅｒｉｎｔｒｏｄｕｃｅｄｉｎｈｉｓｓｅｍｉｎａｌａｒｔｉｃｌｅ［１］ｏｎｅｏｆｔｈｅｍｏｓｔｉｍｐｏｒｔａｎｔ“ｔｏｐｏｌｏｇｉｃａｌ”（ｉ．ｅ．ｇｒａｐｈ...

§１ＩｎｔｒｏｄｕｃｔｉｏｎＩｎ１９７４ＨａｒｏｌｄＷｉｅｎｅｒｉｎｔｒｏｄｕｃｅｄｉｎｈｉｓｓｅｍｉｎａｌａｒｔｉｃｌｅ［１］ｏｎｅｏｆｔｈｅｍｏｓｔｉｍｐｏｒｔａｎｔ“ｔｏｐｏｌｏｇｉｃａｌ”（ｉ．ｅ．ｇｒａｐｈ－ｔｈｅｏｒｅｔｉｃａｌ）ｉｎｄｉ...

关键词：

AN　ASYMPTOTIC　PROPERTY　OF　THE　NUMBER　OF　SPANNING　TREES　OF　DOUBLE　FIXED　STEP　LOOP　NETWORKS

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Applied Mathematics(A Journal of Chinese Universities) 1997年第2期12卷 109-112页

作者： YONG XUERONG AND zhang fuji

Let T(C(p,1,q)) be the number of spanning trees of circulant graph C(p,1,q). In this note we show that T(C(p+1,1,q))T(C(p,1,q))→2, p→+∞.

关键词： STEP FIXED LOOP NETWORKS DOUBLE AN ASYMPTOTIC

Enhancing Offensive Language Detection with Data Augmentation and Knowledge Distillation

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Research 2024年第2期6卷 29-40页

作者： Jiawen Deng Zhuang Chen Hao Sun Zhexin zhang Jincenzi Wu Satoshi Nakagawa fuji Ren Minlie Huang The CoAl group DCSTInstitute for Artificial InteligenceState Key Lab of Intelligent Technology and SystemsBeijing National Research Center for Information Science and TechnologyTsinghua UniversityBeijing 100084China Graduate School of Information Science&Technology The University of Tokyo.Tokyo 1138654Japan School of Computer Science and Engineering University of Electronic Science and Technology of ChinaChengduSichuan611731China

Offensive language detection has received important attention and plays a crucial role in promoting healthy communication on social platforms,as well as promoting the safe deployment of large language *** data is the basis for developing detectors;however,the available offense-related dataset in Chinese is severely limited in terms of data scale and coverage when compared to English *** significantly affects the accuracy of Chinese offensive language detectors in practical applications,especially when dealing with hard cases or out-of-domain *** alleviate the limitations posed by available datasets,we introduce AugCOLD(Augmented Chinese Offensive Language Dataset),a large-scale unsupervised dataset containing 1 million samples gathered by data crawling and model ***,we employ a multiteacher distillation framework to enhance detection performance with unsupervised *** is,we build multiple teachers with publicly accessible datasets and use them to assign soft labels to *** soft labels serve as a bridge for knowledge to be distilled from both AugCOLD and multiteacher to the student network,i.e.,the final offensive *** conduct experiments on multiple public test sets and our well-designed hard tests,demonstrating that our proposal can effectively improve the generalization and robustness of the offensive language detector.

关键词： COLD dealing limitations

Matching Polynomials of Special Graphs

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新疆大学学报(自然科学版) 1989年第1期 1-4页

作者： zhang fuji Zheng Maolin(Dept of Math,Xinjiang University)

Farrell in [1] and Godsil and Gutman in [2] gave different definitions about matching polynomials ?? this paper we use the definition of [1] If G is a graph,m(G,i) will denote the number of matchings in G,i.e.,the number of selections of i independent edges of *** i=0,We define m(G,0)=*** G has n vertices,we call the polyrnomial ??? to be the matching polynomial of *** ? we denote the complement of G obtained by deleting the edges of G from the complete graph ? denote the bipartite graph with bipartition m and n By ? we denote the bi-complement of ? obtained by deleting the edges of ?from ? (where ? is the complete bipartite graph with bipartition m and n).

关键词： Matching Polynomials of Special Graphs Graph

民主革命时期马克思主义中国化的曲折历程及其启示

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山东师范大学学报（人文社会科学版） 2010年第1期55卷 88-94页

作者：张福记山东师范大学政法学院山东济南250014

新民主主义革命时期,中国共产党将马克思主义基本原理与中国革命实践相结合,寻找中国革命的正确道路,经历了一个曲折探索的过程。以毛泽东为核心的中共领袖集体,逐步打破教条主义和俄国革命模式的束缚,寻找到一条中国特色的革命之路,形... 详细信息

新民主主义革命时期,中国共产党将马克思主义基本原理与中国革命实践相结合,寻找中国革命的正确道路,经历了一个曲折探索的过程。以毛泽东为核心的中共领袖集体,逐步打破教条主义和俄国革命模式的束缚,寻找到一条中国特色的革命之路,形成了中国化的马克思主义——毛泽东思想,并最终赢得新民主主义革命的胜利。回顾和总结该时期马克思主义中国化的历程,给我们提供了许多重要的启示。

关键词：新民主主义革命马克思主义中国化曲折历程启示

推进社会良性运行跳出历史周期律——中国共产党90年历史实践的宏观考察

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山东师范大学学报（人文社会科学版） 2011年第5期56卷 113-120页

作者：张福记山东师范大学政治与国际关系学院山东济南250014

中国传统社会周期性治乱循环,根源于社会系统的严重失衡。周期律的打破,在于现代良性运行社会系统的建立。中国共产党90年的奋斗历程,在一定意义上讲,是为构建现代良性运行的社会系统而艰辛探索的过程,在理论和实践上取得了根本性的进... 详细信息

中国传统社会周期性治乱循环,根源于社会系统的严重失衡。周期律的打破,在于现代良性运行社会系统的建立。中国共产党90年的奋斗历程,在一定意义上讲,是为构建现代良性运行的社会系统而艰辛探索的过程,在理论和实践上取得了根本性的进步。尤其是科学发展观与和谐社会建设理论的提出,表明中国共产党对该问题的认识达到一个新境界。但实现向现代良性运行社会系统的转变,中国还面临着严峻的挑战,需要进一步改革开放,遵循系统思维,不断深入把握社会主义现代化建设的规律,从而为中国社会的良性运行和长治久安创造条件与奠定基础。

关键词：现代良性运行社会系统中国共产党历史周期律

EIGENVALUE NETWORK AND MOLECULAR ORBITALS

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Science in China,Ser.A 1979年第10期 1160-1168页

作者：张福基 Hami Normal School Xinjiang Uygur Zizhiqu

This paper gives two mathematical theorems to develop the eigenvalue polynomials which may be used to work out the energy levels, deduce the chemical properties of conjugated molecules and study the relationship between the graph and its spectrum as well The second theorem has been worked out by Tang Aoqing (Tang Au-chin) and Jiang Yuansheng (Kiang Yuan-sun) but without proof.

关键词： line EIGENVALUE NETWORK AND MOLECULAR ORBITALS

DIGRAPH CATEGORIES AND LINE DIGRAPH FUNCTORS

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Chinese Annals of Mathematics,Series B 1992年第3期13卷 368-373页

作者：张福基李学良黄琼湘刘新 Department of Mathematics Xinjiang UniversityUrumqiXinjiang 830046China.

The authors define line digraph functors on digraph category which are full and faith-ful and,as a consequence of the result,determine all homomorphisms in De Bruijn-Goodgraph category and automorphisms of Kautz digraph *** the authorsconsider a type of arc-full morphisms of digraph category such that F^n(f) is arc-full foreach functor F^n,and succeeding paper [9] study the strong homomorphisms of de Bruijn-Good digraph.

关键词： category vertex consequence determ integer Kraus proof Number 石瓜 Strong

GENERALIZED LINEAR DIFFERENCE EQUATION AND ITS INVERSE PROBLEM

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Chinese Science Bulletin 1986年第23期31卷 1585-1588页

作者：张福基 Department of Mathematics Xinjiang University Urumqi

This paper gives an explicit expression of the solution of a generalized linear difference equation:

关键词： explicit nonnegative integer 亡户 inverse generating 庄山 reduc operational virtue